Greatest Common Factor of 6716/671, 6350/3071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6716/671, 6350/3071

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6716/671,6350/3071

Given fractions are 6716/671,6350/3071

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6716,6350

Greatest Common Factor of Numerators i.e. GCF of 6716,6350 is 2 .

LCM of Denominators means LCM of 671,3071 as per the given fractions.

LCM of 671,3071 is 2060641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6716,6350

GCF of Fractions 6716/671,6350/3071 is 2/2060641

2 6716, 6350
3358, 3175

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6716,6350 By Matching Biggest Common Factor Method

Greatest Common Factor of 6716,6350 By Matching Biggest Common Factor Method

Factors of 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1,2,4,23,46,73,92,146,292,1679,3358,6716

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Greatest Common Factor

We found the factors 6716,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 6716,6350 is 2.

Lets's calculate LCM of 671,3071

Given numbers has no common factors except 1. So, there LCM is their product i.e 2060641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2060641

Therefore, the GCF of Fractions 6716/671,6350/3071 is 2/2060641

Least Common Multiple of 671,3071 with GCF Formula

Least Common Multiple of 671,3071 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 671,3071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,3071) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(671,3071) x common factors =1 x 1 = 1

LCM(671,3071) = ( 671 × 3071 ) / 1

LCM(671,3071) = 2060641 / 1

LCM(671,3071) = 2060641


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6716/671, 6350/3071

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6716/671, 6350/3071?

Answer: GCF of Numerators as per given numbers 6716/671, 6350/3071 is

GCF of Numerators i.e. for 6716,6350 is 2

LCM of denominators i.e. for 671,3071 is 2060641.

Thus, GCF of Fractions is 2/2060641.Finally, GCF of Fractions for 6716/671, 6350/3071 is 2/2060641.